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Finding the Fourth Proportional to 11,077.92, 16,617.42 and 3,286.80

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Solution

The fourth proportional to 11,077.92, 16,617.42 and 3,286.80 is: 4,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.92 : 16,617.42 = 3,286.80 : x
  2. Step 2: Convert to fraction form
    11,077.92/16,617.42 = 3,286.80/x
  3. Step 3: Cross multiply
    11,077.92x = 16,617.42 × 3,286.80
  4. Step 4: Simplify right side
    11,077.92x = 54,618,136.06
  5. Step 5: Solve for x
    x = 54,618,136.06/11,077.92
  6. Step 6: Final answer
    x = 4,930.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.